**SHARPEST APEX RIGHT TRIANGLES ON EVEN POLYGONS**

Excel file with Horizontal bases: 7.H_SharpestRightTrianglesOnEvenPolygons

Excel file with *Slanted* bases: 7.S_SharpestRightTrianglesOnEvenPolygons

Partial Paper: SharpestAngleRightTriangles

Challenge Question: CQ Sharpest Right Triangles with 4 sets of lines

The files here are modified versions of File 6 which looked at sharpest isosceles triangles on odd-polygons. This is a natural extension of the material discussed there and formulas developed there are quickly used to answer how many sharpest apex angle right triangles occur when ** n** is even. Interestingly, two distinct images emerge for each value of

**, one has horizontal bases with slanted hypotenuse and the other with slanted base and vertical hypotenuse.**

*n*Neither the files or the paper are in polished shape but they do show the images and provide a quick synopsis of what is going on here.